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This you see as the north pole forming near the north pole of the solenoid. Like poles repel, unlike poles attract is kind of a misleading analogy(I find it strange that I realized this after reading your question). What actually is happening is that the tiny magnetic dipoles inside the magnetic material(a bar of iron, for example) align with the direction of the magnetic field.
All magnets have both a north and a south pole, which causes them to either repel or attract one another depending on how the two poles are lined up. If the north pole of one magnet meets the south pole of another, the two will be attracted, but if either both north or south poles meet, the magnets will repel one another. Continue Reading